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Nesterboy [21]
4 years ago
7

Aman left one-half of her property to his daughter, one-third to his son and donated the rest to an educational institute. If th

e donation was worth Rs 100000, how much money did Aman have?
Mathematics
1 answer:
shutvik [7]4 years ago
6 0

Answer:

Rs 600,000

Step-by-step explanation:

Let the original amount be X

Amount given to daughter = (1/2) X = X/2

Amount given to son = (1/3) X = X/3

donation = Rs 100,000

Total amount = Amount Given to Daughter + Amount given to Son + Donation

X = X/2 + X/3 + 100,000   (solve for X)

X = (5/6)X +  100,000

X - (5/6)X  =   100,000

(1/6)X  =   100,000

X = (6) (100,000)

x = Rs 600,000

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 xft?
attashe74 [19]

Answer:

Volume of sphere =\frac{2}{3}(27\pi) ft^3

Step-by-step explanation:

We are given that

Radius of sphere=Radius of cylinder=r

Height of sphere=Height of cylinder=h

Height of sphere=h=Diameter of sphere=2r

Volume of cylinder=27\pi ft^3

Volume of cylinder=\pi r^2 h

Using the formula

Volume of cylinder=\pi r^2(2r)=2\pi r^3=27\pi

Volume of sphere=\frac{4}{3}\pi r^3

Using the formula

Volume of sphere=\frac{2}{3}\times 2\pi r^3=\frac{2}{3}(27\pi)

Hence, the volume of sphere =\frac{2}{3}(27\pi) ft^3

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3 years ago
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4 years ago
Alec, a frequent business traveler, is considering signing up for a hotel rewards program. Hotel Elegance is currently offering
aliya0001 [1]

Answer: it will take 41 nights for the points he earns with either hotel to be the same.

Step-by-step explanation:

Let x represent the number of nights that it will take for the points he earns with either hotel will be the same.

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